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Simplifying 2x + -1(9 + -3x) = 7 + 4(2x + 1) 2x + (9 * -1 + -3x * -1) = 7 + 4(2x + 1) 2x + (-9 + 3x) = 7 + 4(2x + 1) Reorder the terms: -9 + 2x + 3x = 7 + 4(2x + 1) Combine like terms: 2x + 3x = 5x -9 + 5x = 7 + 4(2x + 1) Reorder the terms: -9 + 5x = 7 + 4(1 + 2x) -9 + 5x = 7 + (1 * 4 + 2x * 4) -9 + 5x = 7 + (4 + 8x) Combine like terms: 7 + 4 = 11 -9 + 5x = 11 + 8x Solving -9 + 5x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 5x + -8x = 11 + 8x + -8x Combine like terms: 5x + -8x = -3x -9 + -3x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -3x = 11 + 0 -9 + -3x = 11 Add '9' to each side of the equation. -9 + 9 + -3x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 11 + 9 -3x = 11 + 9 Combine like terms: 11 + 9 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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